Joseph is 3 times as old as his son now, if 10 years ago the sum of their ages was 44 ,how old was Joseph when his son was born ?​

Answer:

Simplify the expression:

Exact form: -31/9

Decimal Form: -3.4

Mixed Number Form: -3 4/9

Answer:

-2 8/9

Step-by-step explanation:

im not a 100% sure but this is what i got

No, his answer is not correct because each of the smaller divisions represents 1/6, not 3.

Mark's answer is not correct.

When dividing a number line into equal sections, the value of each section represents a fraction of the whole.

In this case, Mark divided the number line from 0 to 1 into 3 equal sections and then divided each of those sections into 2 equal parts.

Initially, the whole number line from 0 to 1 represents the number 1. When Mark divided it into 3 equal sections, each section represents 1/3 (one-third) of the whole.

So far, this is correct.

However, when Mark further divided each of the 1/3 sections into 2 equal parts, each part represents 1/2 (one-half) of the 1/3 section.

So, each of these smaller divisions represents 1/2 \(\times\) 1/3 = 1/6 (one-sixth) of the whole.

Therefore, the correct representation of each of the smaller divisions is 1/6, not 3.

Mark made an error by mistakenly assuming that each smaller division represents the number 3.

In summary, Mark's answer of 3 is incorrect because each of the smaller divisions represents 1/6, not 3.

The correct representation for dividing the number line as described is 1/6.

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Answer:

I think it would be 2,34 becuase when you think about the question it fits together

Step-by-step explanation:

:)

Answer:

67.2% or if your rounding to a whole number it’s 67%

Step-by-step explanation:

Move the dot (decimal) over 2 digits to the right —>

Answer:

20 pi (sign)

Step-by-step explanation:

khan answer trust me bro

Answer:

8 weeks

Step-by-step explanation:

48 is 75%

x is 100%

48×100=4800

75x=4800

x=4800:75

x=64

64-48=16

16:2=8

Answer is 8 weeks

The solution of the triangle have been shown below.

To solve a triangle means to find the values of all its angles and sides. The method for solving a triangle depends on the given information.

Given that;

a/Sin A = b/SinB

Sin B = bSin A/a

B = Sin-1(bSin A/a)

B = Sin-1 (23Sin 40/17)

B = 60.4 degrees

Then we have that

C = 180 - (40 + 60.4)

= 79.4 degrees

Then;

a/sinA = c/Sin C

c= aSin C/Sin A

c = 17 * Sin 79.4/Sin 40

c =   16.71/0.643

c = 25.9

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Answer:

Round both numbers to 1 significant figure.

400+400=800

800 is the answer.

Answer:

Positive value of correlation Coefficient

Step-by-step explanation:

The correlation Coefficient value, R is a correlation measure which gives information about both the strength of association between two variables and also the type of association between them (negative or positive). R has a standardized value which ranges from - 1 to +1

Negative relationship between variables are depicted with negative (where one variable decreases as the other increases) R value while positive association (increase in one variable means leads to increase in the other variable) are depicted with positive R values.

Therefore, for the relationship described above, the correlation Coefficient will be positive.

Answer:

The answer is the second graph, Option 2

Answer:

16

Step-by-step explanation:

16 × 16 = 256

√256 = 16

hope this helps...

Radius of circle with circumference 56.5cm is 8.99cm

A circle is made up of numerous constituent components. A circle's radius serves as a unit of measurement because it is a 2D form. The Greek word "kirkos," which means "ring" or "hoop," is the source of the English term "circle." A circle's radius, diameter, circumference, and other components are among its constituents.

The different parts of a circle are Circumference, Radius, Diameter, Chord, Tangent, Secant, Arc, Segment, Sector.

A circle's edge is its circumference. In other words, the circumference is the measurement of the circle's edge or the distance traveled around it.

Circumference=2×π×r.

In the given question circumference is 56.5cm

⇒C=56.5cm=2×π×r;

⇒r=\(\frac{56.5}{2*3.14}\);

⇒r=8.9968≅9cm;

Radius of circle with circumference 56.5cm is 8.99cm

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The solution of the absolute function is  

t < -4

 t > 22/5

In interval notation it will be    (-∞,-4) ;(22/5,+∞).

What is absolute function?

An absolute value function is a function in algebra which consists of the variable in the absolute value bars. In general form of the absolute value function is f(x) = a |x - h| + k  where h, k are constants and the most commonly used form of this function is f(x) = |x|. Here a = 1 and h = k = 0.

The Absolute Value term is |5t-1|

For the Negative case it will be -(5t-1)

For the Positive case it will be  (5t-1)

at first we will solve for negative case:

-(5t-1) > 21

    Multiplying by the minus sign we get,

     -5t+1 > 21

    Rearranging and Adding up we get,

     -5t > 20

    Dividing both sides by 5

     -t > 4

    Multiplying both sides by (-1) we get,

     t < -4

 Now we will solve for positive case:

(5t-1) > 21

    Rearranging and Adding  up we get,

     5t > 22

    Dividing both sides by 5 we get,

     t > (22/5)

Hence the solution of the absolute function is  

t < -4

 t > 22/5

In interval notation it will be    (-∞,-4) ;(22/5,+∞).

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In your fourth year on the job, you can expect to earn $41,327.

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest =P(1+r/n)^rt

We are given that;

In this case, P = 34,000, r = 0.05, and n = 4.

Plugging these values into the formula, we get:

A = 34,000(1 + 0.05)^4

A = 34,000(1.05)^4

A = 34,000(1.2155)

A = 41,327

Therefore, by the simple interest the answer will be $41,327.

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The meaning of the z-score of 2.8 for the past year's temperature is that the temperature is 2.8 standard deviations above the historical mean. Option B is correct

B) The past year's average temperature was 2.8 standard deviations above the historical mean.

The z-score also known as the standard score indicates the relationship of a value, within a set of value, with the mean of the set of values

Mathematically, the z-score can be presented as follows;

\(Z = \dfrac{x- \mu}{\sigma}\)

Where;

x = The point score

μ = The mean score

σ = The standard deviation

The z-score indicates the number of standard deviations a score is from the mean

The z-score of the past year's temperature = 2.8

Therefore, the z-score of 2.8 for the past year's temperature indicates that the past year's temperature was 2.8 times the standard deviation away from (above) the mean of the local weather temperature, (the historical mean temperature) on record.

The correct option is option B)

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Answer:

Solution in attached photo.

Step-by-step explanation:

The solution is attached as a photo. This Question tests on the concept of Angle Properties.

Properties required:

1) Angles in a straight line sums up to 180°.

Answer: 75582 different committees

Explanation

Given

• Committee: 11 students

• Member student council: 19 students

Procedure

As the order of choosing is not important, then we can use combinations:

where n is the number of items in a set and r is the number of items selected from the set. Applying the formula to our problem:

• n = ,19

• r = 11

Thus, replacing these values and simplifying:

13.13.13.13.13 in exponential form is 13^5

The expression is given as:

13.13.13.13.13

The factors of the above expression are 13.

And each factor is grouped by product

There are five 13s in the expression.

So, we have:

13.13.13.13.13 = 13^5

Hence, 13.13.13.13.13 in exponential form is 13^5

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Answer:

abdul has 15

keiko has 22

bob has 45

Step-by-step explanation:

82= a+7+3a+a

75=a+3a+a

75=5a

15=a

15=abdul

15+7=keiko

3(15)=bob

Answer:

Step-by-step explanation:

daddy

Answer:

b/2 min

Step-by-step explanation:

Answer: 5 calories

Step-by-step explanation:

Given the data:

Minute ____calorie burned

40__________200

80__________400

120_________ 600

160_________ 800

We need to find the rate at which calorie is burned :

Rate of burn = (Number of calorie burned/ time taken)

Take any of the points :

Time = 80 ; calorie burned = 400

Rate of burn = (400 calorie / 80 minute )

Rate of burn = 5calorie/minute

If time = 1 minute ; rate = 5

Calorie burned in 1 minute :

Amount of calorie = rate of burn × time taken

Amount burned in 1 minute = 5 × 1 = 5 calories

Hence, amount of calorie burned in one minute is 5 calories.

Answer:

5

Step-by-step explanation:

Maps Testing I have done it.

Answer:

124 boys and 161 girls

Step-by-step explanation:

There are 285 students total. Divide 285 by 2, you get 142.5. Since you can't have half a student, lets round it up to 143. Now, there are 19 more girls than guys, so you would subtract 19 from 143. When you do that, (143-19) you get 124. Then you take 285 and subtract 124. You get 161.

Hope this is correct!

The area under the curve between two values on the x-axis represents the probability that the random variable falls within that range, with the total area under the curve being equal to 1.

In the graph, the PDF is represented by the smooth curve. The highest point on the curve corresponds to the most likely value of the random variable. In this case, the most likely value appears to be around x = 2.5.

The area under the curve between any two values on the x-axis represents the probability that the random variable falls within that range. For example, the probability that the random variable falls between x = 1 and x = 3 is equal to the area under the curve between those two values.

It's important to note that the probability density function must satisfy the following two conditions:

The total area under the curve must be equal to 1.

The probability of the random variable taking on any specific value is equal to zero, since the function only describes the likelihood of the variable taking on a range of values.

PDFs are often used in statistics to describe continuous distributions, such as the normal distribution, and to make statistical inferences about populations based on samples.

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using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer:

x=0 or x=2 or x=−4 or x= (7)(2)

Step-by-step explanation:

Answer:

5,398.5

Step-by-step explanation:

The number before 4 is greater than 4 so I added 1 to 4.

By applying the PEMDAS rule, the given expression "1 × (-4) - 8 × - 3/9" is equal to -20/8.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In order to evaluate this expression, we would apply the PEMDAS rule, where operations within the parenthesis are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the expression to the right. Lastly, the operations of addition or subtraction would be performed from left to right.

Expression = 1 × (-4) - 8 × - 3/9

Expression = -4 - 8 × - 3/9

Expression = -4 - 8 × 1/3

Expression = -4 - 8/3

Expression = -4/1 - 8/3

Expression = (-12 - 8)/3

Expression = -20/8.

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Based on the data recorded by Anna on Saturday, we can estimate the number of people expected to visit The Youth Wing on Sunday.

Let's calculate the proportion of visitors to The Youth Wing compared to the total number of visitors on Saturday:

\(\displaystyle \text{Proportion} = \frac{\text{Visitors to The Youth Wing on Saturday}}{\text{Total visitors on Saturday}} = \frac{382}{382 + 461 + 355}\)

Next, we'll apply this proportion to the total number of visitors on Sunday to estimate the number of people expected to go to The Youth Wing:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times \text{Total visitors on Sunday}\)

Now, let's substitute the values into the equation and calculate the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355}\)

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times 800\)

Calculating the proportion:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355} = \frac{382}{1198}\)

Calculating the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \frac{382}{1198} \times 800\)

Simplifying the equation:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx \frac{382 \times 800}{1198}\)

Now, let's calculate the approximate number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx 254\)

Therefore, based on the data recorded on Saturday, we can estimate that around 254 people should be expected to go to The Youth Wing on Sunday.

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